Tame covers of curves: p-ranks and fundamental groups PhD thesis.
The p-rank of ramified covers of curves Comp. Math. 126(2001), no. 3, 295--322.
The p-rank of curves and covers of curves Courbes semi-stables et groupe fondamental en géométrie algébrique (Luminy, 1998), 267--277, Progr. Math., 187, Birkhäuser, Basel, 2000.
Reduction of covers and Hurwitz spaces.  With Stefan Wewers. Crelle J. 574 (2004), 1--49.
Rigidity, Reduction, and Ramification. With Rachel Pries. Math. Ann 326 (2003), 803--824.
Stable reduction of modular curves. With Stefan Wewers. math.AG/0210363. Modular curves and abelian varieties, Progress in Math. 224 (2004), 1--22, Birkhäuser.
Reduction of the Hurwitz space of metacyclic covers. Duke Math. J. 121 (2004), 75--111.

Ordinary elliptic curves of high rank over $\bar F_p(x)$ with constant j-invariant. With Claus Diem and Jasper Scholten.

Manuscripta Math. 114 (2004), 487--501
Alternating groups as monodromy groups in positive characteristic. With Stefan Wewers. Pacific J. Math. 222 (2005), 185-??
Asymptotically good towers and differential equations. With Peter Beelen. Compositio Math. 141 (2005), 1405--1424.
The local lifting problem for dihedral groups. With Stefan Wewers. Duke Math J. 134 (2006), 412--452.
Rational functions with given monodromy on generic curves. With Stefan Wewers. Problems from the workshop on "automorphisms of curves" (Leiden 2004). Rend. Sem. Math. Univ. Padova. 113 (2005), 129--177.
Invariants of ternary quadratic forms. Asterique 312, 2007.
Pseudo-elliptic bundles, deformation data, and the reduction of Galois covers Habilitation thesis.
Indigenous bundles with nilpotent p-curvature. With Stefan Wewers. Internat. Math. Res. Notices (2006), 1-37.
Teichmueller curves, triangle groups, and Lyapunov exponents. With Martin Moeller. Annals of Math. 172 (2010).
The accessory parameter problem in positive characteristic. Preprint
Construction of covers in positive characteristic via degeneration. Proc. A.M.S. 137 (2009), 3169--3176.

Differential equations associated with nonarithmetic Fuchsian groups
With Martin Moeller

Journal of the London Math. Soc. 81 (2010), 65--90.
Deformation data, Belyi maps, and the local lifting problem, with Stefan Wewers and Leonardo Zapponi. Trans. AMS. 362 (2009), 6645--6659.
Some 4-point Hurwitz numbers in positive characteristic, with Brian Osserman. Trans. AMS.303, 2011, 6685–6711.
Covers of the affine line in positive characteristic with prescribed ramification In WIN, Fields Institute Communications 60, 193-200, 2011.

Syndrom decoding for Hermite codes with a Sugiyama algorithm, with Sabine Kampf

Advances of math Communications 6, 2012, 419-442.

Existence of covers with fixed ramification in positive characteristic, with Leonardo Zapponi

IJNT 9(2013), 1475-1489, arXiv:1206.1262
Computing L-functions and semistable reduction of superelliptic curves, with Stefan Wewers

Glasgow math J. 59,  77-108, 2017.


Bad reduction of genus-3 curves with complex multiplication, with Jenny Cooley, Kristin Lauter, Elisa Lorenzo Garcia, Michelle Manes, Rachel Newton, Ekin Ozman.

in: Women in numbers - Europe, research directions in number theory, AWM series Vol. 2, Bertin  et al (eds), 109-151, Springer,  2015. arXiv:1407.3589

Zeta functions of a class of Artin-Schreier curves with many automorphisms, with Wei Ho, Beth Malmskog, Renate Scheidler, Padma Srinivasan, and Christelle Vincent.

in: Directions in Number Theory. Proceedings of the 2014 WIN Workshop. AWM series Vol. 3, Eischen et al (eds), 87-124, Springer, 2016. arXiv:1410.7031

The functional equation for L-functions of hyperelliptic curves, with Michel Börner and Stefan Wewers.

Experimental Math. 16 (2017), 396-411.


Picard curves with small conductor, with Michel Börner and Stefan Wewers.

In: Algorithmic and experimental methods in algebra, geometry, and number theory, 97-122, Springer, 2017. arXiv:1701.01986

Dynamical Belyi maps, with Jackie Anderson, Özlem Ejder, Neslihan Girgin, Valentijn Karemaker, and Michelle Manes. In: Women in Numbers Europe II, Contributions to arithmetic geometry and number theory, AWM Vol. 11, Bouw et al (eds), 57-82, Springer, 2018. arXiv:1703.08563.
Improved power decoding of interleaved one-point Hermitian codes, with Sven Puchinger and Johan Rosenkilde. Designs, Codes and Cryprography 87 (2019), 589–607. arXiv: 1801.07006.
Dynamical Belyi maps and arboreal Galois groups, with Özlem Ejder and Valentijn Karemaker. arXiv:1811.10086. To appear in Manuscripta Math.
Conductor and discriminant of Picard curves, with Angelos Koutsianas, Jeroen Sijsling, and Stefan Wewers. arXiv:1902.09624. To appear in Journal of the London Math. Soc.
Reduction type of genus-3 curves in a special stratum of their moduli space, with Nirvana Coppola, Pinar Kilicer, Sabrina Kunzweiler, Elisa Lorenzo Garcia, and Anna Somoza. arXiv:2003.07633. To appear in Women in Numbers Europe III.